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Finding the Third Proportional to 1,698,230 and 2,307,585

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Solution

The third proportional to 1,698,230 and 2,307,585 is: 3,135,587.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698,230 : 2,307,585 = 2,307,585 : x
  2. Step 2: Convert to fraction form
    1,698,230/2,307,585 = 2,307,585/x
  3. Step 3: Cross multiply
    1,698,230x = 2,307,585 × 2,307,585
  4. Step 4: Simplify right side
    1,698,230x = 5,324,948,532,225
  5. Step 5: Solve for x
    x = 5,324,948,532,225/1,698,230
  6. Step 6: Final answer
    x = 3,135,587.37

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.